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Finding the Fourth Proportional to 76,392.96, 114,594.96 and 31,975.02

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Solution

The fourth proportional to 76,392.96, 114,594.96 and 31,975.02 is: 47,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392.96 : 114,594.96 = 31,975.02 : x
  2. Step 2: Convert to fraction form
    76,392.96/114,594.96 = 31,975.02/x
  3. Step 3: Cross multiply
    76,392.96x = 114,594.96 × 31,975.02
  4. Step 4: Simplify right side
    76,392.96x = 3,664,176,137.90
  5. Step 5: Solve for x
    x = 3,664,176,137.90/76,392.96
  6. Step 6: Final answer
    x = 47,964.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.